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Título:
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Norm attaining multilinear forms and polynomials on preduals of Lorentz sequence spaces.
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Autores:
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Jiménez Sevilla, María del Mar ;
Payá Albert, Rafael
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Tipo de documento:
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texto impreso
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Editorial:
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Polish Acad Sciencies Inst Mathematics, 1998
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Álgebra
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Tipo = Artículo
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Resumen:
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For each natural number N, we give an example of a Banach space X such that the set of norm attaining N{linear forms is dense in the space of all continuous N{linear forms on X, but there are continuous (N +1){linear forms on X which cannot be approximated by norm attaining (N+1){linear forms. Actually, X is the canonical predual of a suitable Lorentz sequence space. We also get the analogous result for homogeneous polynomials.
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En línea:
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https://eprints.ucm.es/id/eprint/22372/1/Jimenez21.pdf
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